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Finding the Third Proportional to 55,710.75 and 121,626.75

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Solution

The third proportional to 55,710.75 and 121,626.75 is: 265,533.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,710.75 : 121,626.75 = 121,626.75 : x
  2. Step 2: Convert to fraction form
    55,710.75/121,626.75 = 121,626.75/x
  3. Step 3: Cross multiply
    55,710.75x = 121,626.75 × 121,626.75
  4. Step 4: Simplify right side
    55,710.75x = 14,793,066,315.56
  5. Step 5: Solve for x
    x = 14,793,066,315.56/55,710.75
  6. Step 6: Final answer
    x = 265,533.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.